1. Lattice simulations for light nuclei: Chiral effective field theory at leading order
- Author
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Dean Lee, Hermann Krebs, B. Borasoy, Evgeny Epelbaum, and Ulf-G. Meißner
- Subjects
deuteron ,interaction [nucleon nucleon] ,Nuclear and High Energy Physics ,Nuclear Theory ,Monte Carlo method ,FOS: Physical sciences ,Positive-definite matrix ,Nuclear Theory (nucl-th) ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Lattice ,Pion ,Lattice (order) ,Quantum mechanics ,coupling [pi nucleon] ,Effective field theory ,ddc:530 ,Nuclear Experiment ,nuclide [helium] ,Physics ,tritium ,High Energy Physics - Lattice (hep-lat) ,lattice field theory ,SU(4) [symmetry] ,Monte Carlo [numerical calculations] ,Lattice path ,wave function [light nucleus] ,nuclear model [light nucleus] ,form factor [light nucleus] ,Scattering amplitude ,partial wave [scattering amplitude] ,High Energy Physics - Phenomenology ,many-body problem ,chiral [effective Lagrangian] ,Nucleon ,path integral - Abstract
We discuss lattice simulations of light nuclei at leading order in chiral effective field theory. Using lattice pion fields and auxiliary fields, we include the physics of instantaneous one-pion exchange and the leading-order S-wave contact interactions. We also consider higher-derivative contact interactions which adjust the S-wave scattering amplitude at higher momenta. By construction our lattice path integral is positive definite in the limit of exact Wigner SU(4) symmetry for any even number of nucleons. This SU(4) positivity and the approximate SU(4) symmetry of the low-energy interactions play an important role in suppressing sign and phase oscillations in Monte Carlo simulations. We assess the computational scaling of the lattice algorithm for light nuclei with up to eight nucleons and analyze in detail calculations of the deuteron, triton, and helium-4., 44 pages, 15 figures
- Published
- 2007
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